Kat Morgan usrbinkat

Time-Based Signal Extraction, Compression, and Predictive Modeling in the Prime Compute Information System

By leveraging Fourier transforms, wavelet analysis, and other mathematical methods within the Prime Compute Information System (PCIS), we can detect high-value signals in massive datasets, optimize semantic coherence, compress information losslessly, and predict future states of objects and transformations.

Fourier Transform & Time-Series Signal Decomposition

The Fourier transform (FT) allows us to decompose the time-dependent evolution of the information system into frequency-domain components, helping us to:

Isolate high-value signals by filtering low-amplitude noise in high-dimensional data streams.

Universal Object Reference (UOR) for Music Theory: A Rigorous Computational Framework

1. Introduction

Music, as a highly structured yet expressive system of organized sound, is fundamentally governed by mathematical principles. The Universal Object Reference (UOR) framework offers a robust unifying paradigm for encoding and generating music across distinct traditions by situating musical elements within a well-defined algebraic and geometric space. This document articulates an extensible UOR-based approach to music theory, emphasizing both theoretical rigor and computational applicability in music analysis, synthesis, and generative composition.

Framework Objectives

Formalize music fundamentals using precise mathematical structures.
Embed music theory in UOR through Clifford algebraic encodings, Lie group symmetries, and coherence norms.
**Represent diverse musical systems (Western Classical, Hindustani Classical, and Gamelan) within a UOR framework, facilitating compa

Universal Object Reference (UOR): A New Framework for Distributed Systems

Overview

The Universal Object Reference (UOR) dissertation and thesis represent an approach to distributed systems design offering a mathematically rigorous framework to applied systems engineering problems that unlocks conventional bottlenecks and blockers in distributed hyperscaling systems. This synopsis provides a comprehensive guide to navigating the key contributions, theoretical foundations, and practical implications of the preliminary thesis and dissertation samples below.

Links to Original Documents

Problem Introduction and Theoretical Framework

The Universal Object Reference (UOR) framework presents a sophisticated model for encoding, processing, and analyzing mathematical structures, particularly within the realms of cosmic topology and prime number distributions. As with any computational paradigm, the scalability and efficiency of UOR's operations necessitate rigorous examination through complexity analysis. Given the high-dimensionality of its mathematical constructs, including Hyperbolic Topology (HT), Euclidean Topology (EUT), and Elliptical Topology (ELT), it is imperative to assess the computational overhead associated with UOR's implementations. Furthermore, algorithmic techniques such as the Fast Fourier Transform (FFT) and Big O Notation (BON) serve as critical tools for evaluating and refining its computational performance.

A crucial aspect of this study is to investigate the underlying mathematical properties of UOR, determining how its topological structures influence computational c

Research Proposal: Signal-Based Semantic Vector Space Language Models Using Universal Object Reference Framework

Executive Summary

This research proposes a paradigm shift in language model architecture by treating language understanding as a signal processing problem within the Universal Object Reference (UOR) framework. Rather than relying on statistical patterns in token sequences, our approach embeds semantic meaning in a mathematically rigorous vector space, enabling the identification and preservation of true language signals amid the noise of token-based training data.

Current State and Limitations of Token-Based Models

Traditional language models operate on a fundamental assumption that statistical patterns in token sequences can approximate semantic understanding. These models process language as a sequence of discrete tokens, learning patterns through massive parameter optimization across billions or trillions of tokens. While this approach has yielded impressive results, it faces several

Aurora UOR Programming Language: Comprehensive Design and Implementation Specification

1. Introduction

Aurora is a Universal Object Reference (UOR)-native programming language engineered upon rigorous mathematical frameworks such as Clifford algebras and noncommutative geometry. It ensures algebraic consistency, distributed scalability, and high-performance computing. This document delivers an exhaustive technical specification, providing detailed design decisions and implementation instructions essential for immediate language development.

2. Core Architectural Principles

Install Packages

sudo apt-get update
sudo apt-get install -y qemu-user-static

Create a new builder instance and use it

K8s UniFi Network Application Deployment

NOTICE: under active development, currently facing pvc permissions issues

Spike busting gist of a production-ready Kubernetes manifest for running Ubiquiti’s UniFi Network Application (a.k.a. UniFi Controller) backed by a MongoDB database. All data is persisted in PersistentVolumeClaims (PVCs), and both containers ultimately run as non-root for better security.

Overview

AWS EKS Auto Mode and Pulumi EKS Provider v3 Sample

This sample demonstrates how to provision an EKS cluster using Pulumi’s EKS provider and the recently introduced AWS EKS Auto Mode. This sample presumes practitioners are familiar with AWS, Kubernetes, EKS, and specifically demonstrates new capabilities and best practices as of AWS re:Invent November 2024.

Key Features

EKS Auto Mode:
- Automagically managed cluster data plane components (nodes, scaling, load balancing, storage).
- AWS's Integrated Karpenter for on-demand and scale-to-zero node provisioning.
- Managed EKS add-ons (CNI, CoreDNS, kube-proxy) as batteries included out of the box core components included.

	You are an accessibility-focused system generating inclusive alt text for images, including the complexity of memes and meme culture, intended for social media posting. Your output must be a single plain-text string, ending with a period, that users can place directly into the alt text field. Use these consolidated instructions:

	1) Purpose and Scope:
	- Make visuals accessible and inclusive to individuals with visual impairments or cognitive challenges.
	- Focus on meme culture, humor, and cultural references, ensuring the audience understands both literal content and implied meaning.

	2) Key Descriptive Principles:
	- Provide meaningful descriptions highlighting the primary elements, implied context, and intent of the image.
	- Respect an overall character limit of 2000 characters, though strive for concise alt text (1–2 sentences where possible).